Daily MCQ Paper — 28 April 2026 - IPM Gurukul

Daily MCQ Paper — 28 April 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 28 April 2026

50 Questions · 60 minutes · +1 correct, −0.25 wrong

Section breakdown: Quantitative Ability (20) · Verbal Ability (15) · Logical Reasoning (10) · Data Interpretation (5)

Quantitative Ability

Q1. If 5x + 5y = 41 and 5x + 4y = 45, then the approximate value of (x + y) is:

(A) 7   (B) 8   (C) 9   (D) 10

Q2. The roots of the equation x² + (-13)x + 42 = 0 are:

(A) 6 and 7   (B) 7 and 6   (C) -6 and -7   (D) 6 and -7

Q3. If |2x − 3| < 8, then x lies in the interval:

(A) (-2.5, 5.5)   (B) (0, 5.5)   (C) (-2.5, 6.5)   (D) (−8, 8)

Q4. A number is increased by 12% and then decreased by 12%. The net percentage change is closest to:

(A) No change   (B) 1.44% decrease   (C) 1.44% increase   (D) 0% decrease

Q5. A shopkeeper marks a product 40% above cost price and offers a 20% discount. His profit percentage is closest to:

(A) 12%   (B) 14%   (C) 10%   (D) 20%

Q6. A can complete a job in 11 days and B in 15 days. Working together, they finish it in approximately:

(A) 5.85 days   (B) 6.35 days   (C) 6.85 days   (D) 13.0 days

Q7. A train of length 120 m passes a pole in 20 seconds. How long will it take to pass a platform of length 250 m?

(A) 59.6667 sec   (B) 61.6667 sec   (C) 66.6667 sec   (D) 123.333 sec

Q8. The compound interest on ₹16000 at 11% per annum for 2 years (compounded annually) is approximately:

(A) ₹3614   (B) ₹3714   (C) ₹3814   (D) ₹3520

Q9. ₹700 is divided among A, B, C in the ratio 2:3:5. B’s share is:

(A) ₹140   (B) ₹210   (C) ₹350   (D) ₹233

Q10. The average of 8 numbers is 51. If a new number 61 is added, the new average becomes:

(A) 51.11   (B) 52.11   (C) 53.11   (D) 56

Q11. A fair die is rolled once. What is the probability of getting a prime number?

(A) 1/2   (B) 1/3   (C) 2/3   (D) 1/6

Q12. The area of a triangle with base 12 cm and height 14 cm is:

(A) 79 cm²   (B) 84 cm²   (C) 89 cm²   (D) 168 cm²

Q13. The volume of a cylinder with radius 7 cm and height 13 cm (use π = 22/7) is:

(A) 1902 cm³   (B) 2002 cm³   (C) 2102 cm³   (D) 4004 cm³

Q14. The difference between CI and SI on ₹8000 at 10% per annum for 2 years is:

(A) ₹70   (B) ₹80   (C) ₹90   (D) ₹1600

Q15. What is 35% of 35% of 1000?

(A) 61.25   (B) 122.5   (C) 245   (D) 12.25

Q16. A father is 4 times as old as his son. 7 years ago, he was 6 times as old as his son. The present age of the son is approximately:

(A) 6 years   (B) 10 years   (C) 14 years   (D) 18 years

Q17. The LCM of 16 and 24 is:

(A) 24   (B) 48   (C) 96   (D) 384

Q18. The sum of two numbers is 41 and their difference is 13. The larger number is:

(A) 26   (B) 27   (C) 28   (D) 41

Q19. In what ratio must milk costing ₹23 per litre be mixed with milk costing ₹33 per litre to get a mixture worth ₹28 per litre?

(A) 1:1   (B) 2:1   (C) 1:2   (D) 3:2

Q20. In how many ways can the letters of the word LEADER be arranged?

(A) 120   (B) 360   (C) 720   (D) 60

Verbal Ability

Plastic pollution in oceans has reached crisis proportions. The Great Pacific Garbage Patch is estimated at twice the size of Texas, and microplastics have been detected in human blood, breast milk, and the most remote Antarctic ice. Single-use plastic bans now cover over 60 countries, though enforcement varies widely. The economic question of who pays for cleanup remains contentious: producer-pays models meet industry resistance, while consumer-deposit schemes show mixed results. Innovative materials — biodegradable polymers, mycelium packaging — offer hope but currently command price premiums that limit adoption.

Q21. The passage primarily discusses:

(A) the unrelated history of plastic pollution   (B) the central tensions and trade-offs around plastic pollution   (C) an autobiography   (D) a fictional story

Q22. Which of the following best captures the author’s tone?

(A) dismissive   (B) balanced and analytical   (C) sarcastic   (D) poetic

Q23. Which statement is most consistent with the passage?

(A) The issue has only one side.   (B) Trade-offs and competing perspectives exist.   (C) All experts agree.   (D) The topic is irrelevant.

Q24. The passage suggests that policymakers should:

(A) ignore the issue   (B) weigh competing considerations carefully   (C) ban all activity   (D) do nothing

Q25. A reader could most reasonably infer that:

(A) the topic is fully resolved   (B) further debate and evidence will shape the outcome   (C) the topic has no consequences   (D) the author is uninformed

Q26. In the passage above, the word “crisis” most closely means:

(A) calm   (B) severe difficulty   (C) ordinary   (D) celebration

Q27. In the passage above, the word “contentious” most closely means:

(A) uncontroversial   (B) provoking dispute   (C) ancient   (D) frozen

Q28. In the passage above, the word “commands” most closely means:

(A) serves   (B) demands and obtains   (C) whispers   (D) forgets

Q29. The committee members are divided ____ themselves.

(A) between   (B) among   (C) with   (D) at

Q30. He is good ____ mathematics.

(A) in   (B) at   (C) with   (D) on

Q31. If I ____ time, I would help you.

(A) have   (B) had   (C) will have   (D) would have

Q32. She is taller than ____ in the class.

(A) any other girl   (B) any girls   (C) any girl   (D) other girls

Q33. Best completion: “Microplastics have been found in ____.”

(A) only the ocean   (B) human blood, breast milk, and Antarctic ice   (C) only fish   (D) only Africa

Q34. Arrange P-Q-R-S.
P: Microplastics have been detected in unexpected places.
Q: Plastic ocean pollution has reached crisis levels.
R: Single-use bans now cover 60+ countries.
S: Yet enforcement varies widely.

(A) Q-P-R-S   (B) Q-P-S-R   (C) P-Q-R-S   (D) R-Q-P-S

Q35. Pick best continuation: “Producer-pays cleanup models face ____.”

(A) wide acceptance   (B) industry resistance   (C) consumer demand   (D) no opposition

Logical Reasoning

Q36. In a row of 10 students facing north, Rahul is 4th from the left and Priya is 7th from the left. How many students are between them?

(A) 1   (B) 2   (C) 3   (D) 4

Q37. If A is the brother of B, B is the sister of C, and C is the father of D, how is A related to D?

(A) Father   (B) Uncle   (C) Brother   (D) Cousin

Q38. All cats are mammals. All mammals are animals. Therefore:

(A) No cats are animals   (B) All cats are animals   (C) Some animals are not cats   (D) Some cats are not mammals

Q39. If MONDAY is coded as NPOEBZ, then FRIDAY is coded as:

(A) GSJEBZ   (B) GTKEBZ   (C) GSJEBA   (D) GSJDAZ

Q40. In a queue, A is 5th from the front and 8th from the back. How many people are in the queue?

(A) 10   (B) 11   (C) 12   (D) 13

Q41. Pointing to a man, a woman said, ‘He is the son of my mother’s only son.’ How is the man related to the woman?

(A) Brother   (B) Son   (C) Nephew   (D) Cousin

Q42. If 1=5, 2=10, 3=15, then 5=?

(A) 20   (B) 25   (C) 30   (D) 35

Q43. Find the odd one out: 4, 9, 16, 23, 25

(A) 4   (B) 9   (C) 23   (D) 25

Q44. Statements: All pens are pencils. Some pencils are erasers. Conclusion?

(A) All erasers are pens   (B) Some pens are erasers   (C) Some pencils are pens   (D) No conclusion definitely

Q45. In a certain code, BIRD = 2-9-18-4. What is CAT?

(A) 3-1-20   (B) 3-2-20   (C) 2-1-20   (D) 3-1-21

Data Interpretation

Test scores (out of 100) of 5 candidates in Math, English, Reasoning: A=80,75,85; B=70,90,80; C=95,80,70; D=60,65,90; E=85,85,85.

Q46. Highest Math scorer:

(A) A   (B) B   (C) C   (D) D

Q47. Average English score:

(A) 75   (B) 78   (C) 79   (D) 82

Q48. Candidate with most consistent score (lowest range):

(A) A   (B) B   (C) E   (D) D

Q49. Total score of B:

(A) 230   (B) 235   (C) 240   (D) 245

Q50. Difference between top and bottom Reasoning scorers:

(A) 15   (B) 20   (C) 25   (D) 30